Open Quantum Dynamics Theory of Spin Relaxation: Application to $\mu$SR and Low-Field NMR Spectroscopies

Abstract

An open quantum system refers to a system, which is in turn coupled to an environment that can describe time irreversible dynamics through which the system evolves toward the thermal equilibrium state. We present a quantum mechanically rigorous theory in order to help an analysis of spectra obtained from the advanced nuclear magnetic resonance (NMR) and muon spin rotation, relaxation or resonance ($\mu$SR) techniques. Our approach is based on the numerically "exact" hierarchical equations of motion (HEOM) approach, which allows us to study the reduced system dynamics for non-perturbative and non-Markovian system-bath interactions at finite temperature even under strong time-dependent perturbations. We demonstrate the present theory to analyze $\mu$SR and low-field NMR spectra, as an extension of the Kubo-Toyabe theory focusing on the effects of temperature and anisotropy of a local magnetic field, to help further the development of these experimental means.

arXiv comment6 figures

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Cited by in corpus (11)

• Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
• Spin relaxation in radical pairs from the stochastic Schrödinger equation
• A simple improved low temperature correction for the hierarchical equations of motion
• Numerically "exact" simulations of entropy production in the fully quantum regime: Boltzmann entropy versus von Neumann entropy
• Collective bath coordinate mapping of "hierarchy" in hierarchical equations of motion
• Distinguishing Ion Dynamics from Muon diffusion in Muon Spin Relaxation
• Open quantum dynamics theory for a complex subenvironment system with a quantum thermostat: Application to a spin heat bath
• Spin-lattice relaxation with non-linear couplings: Comparison between Fermi's golden rule and extended dissipaton equation of motion
• Coherent two-dimensional THz magnetic resonance spectroscopies for molecular magnets: Analysis of Dzyaloshinskii-Moriya interaction
• Slow polymer dynamics in poly(3-hexylthiophene) probed by muon spin relaxation
• Open Quantum Dynamics Theory for Coulomb Potentials: Hierarchical Equations of Motion for Atomic Orbitals (AO-HEOM)